9.95 is what percent of 49.95 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 49.95 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 49.95, so we can write it down as 100%=49.95.
4. We know, that x% equals 9.95 of the output value, so we can write it down as x%=9.95.
5. Now we have two simple equations:
1) 100%=49.95
2) x%=9.95
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=49.95/9.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.95 is what percent of 49.95

100%/x%=49.95/9.95
(100/x)*x=(49.95/9.95)*x       - we multiply both sides of the equation by x
100=5.0201005025126*x       - we divide both sides of the equation by (5.0201005025126) to get x
100/5.0201005025126=x
19.91991991992=x
x=19.91991991992

now we have:
9.95 is 19.91991991992% of 49.95